Completing the Square

• 2

• 3.5

• 4.5

• 5.5

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

Complete the Square

x² + 6x - 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

What is the first step to solving THIS equation by completing the square?

• Set the equation equal to zero

• Divide 10 by 2, square it, and add the result to both sides

• Add a² and 10a together

• Divide both sides by 2

• No solution

• No solution

• No solution

Solve the following equation by completing the square:

x² - 2x - 3 = 0

• x = 3 and x = -1

• x = 4 and x = -4

• x = 5 and x = -3

• x = 8 and x = -7

Create a Perfect Square Trinomial
x² + 6x + ____

• 6

• -6

• 9

• -9